1 citations · 1 across the 8 of their papers we have counts for
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Designing Poisson Integrators Through Machine Learning
Miguel Vaquero, David Martín de Diego, Jorge Cortés
This paper presents a general method to construct Poisson integrators, i.e., integrators that preserve the underlying Poisson geometry. We assume the Poisson manifold is integrable…
Metriplectic Euler-Poincaré equations: smooth and discrete dynamics
Anthony Bloch, Marta Farré Puiggalí, David Martín de Diego
In this paper we will study some interesting properties of modifications of the Euler-Poincaré equations when we add a special type of dissipative force, so that the equations of m…
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning
Miguel Vaquero, Jorge Cortés, David Martín de Diego
This work presents a general geometric framework for simulating and learning the dynamics of Hamiltonian systems that are invariant under a Lie group of transformations. This means…